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Vocabulary  An extraneous solution is an apparent solution that must be rejected because it does not satisfy the original equation.

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Example 1 – Solve an absolute value equation Solve | 2x-5 | = 9 Because this is an absolute value equation, the expression within the abs. value can equal 9 or -9. Set the equation equal to 9 & to -9 and solve.

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Example 4 – Solve an inequality of the form | ax + b | ≤ c  This absolute value inequality can be rewritten as a compound inequality.  Solve the compound inequality and graph solution on a number line.